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it's boring as fuck.
start medium, then go finer, then very fine. It takes time, but do it in sections and pay attention to the joins and angles. If you've got a dremel or similar, I'd do the difficult bits with that. Don't worry about sanding away all the original paint; as long as you've got rid of the clear coat, roughed up the texture enough for the paint to hold and got everything smooth / consistant. Carbon is much tougher than people make out.
My advice would be a couple of layers of Zinsser or similar as a primer. This'll protect the frame, level out and incongruities in your sanding and give the paint something to cling too. After that, go fucking mad. The more coats the better, and lightly sand between layers if you can be arsed.
Don't forget a clear coat (everything will flake off immediately otherwise) or a varnish.
FWIW, my supersix paintjob is a bit grubby but generally fine after a winter of riding. Only problem I've had is the mudguards rubbing, but that's just a quick touch up.
Repainting my carbon frame - any advice on the sanding of the frame before hand/ between sprays etc?